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Finding the Fourth Proportional to 476.48, 715 and 216.44

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Solution

The fourth proportional to 476.48, 715 and 216.44 is: 324.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.48 : 715 = 216.44 : x
  2. Step 2: Convert to fraction form
    476.48/715 = 216.44/x
  3. Step 3: Cross multiply
    476.48x = 715 × 216.44
  4. Step 4: Simplify right side
    476.48x = 154,754.60
  5. Step 5: Solve for x
    x = 154,754.60/476.48
  6. Step 6: Final answer
    x = 324.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.